Search a number
-
+
10441443320 = 2357211244027
BaseRepresentation
bin10011011100101101…
…11100011111111000
3222221200102021111222
421232112330133320
5132341002141240
64444032211212
7516514542500
oct115626743770
928850367458
1010441443320
114478a16a00
122034999b08
13ca52ac539
14710a34a00
15411a0aeb5
hex26e5bc7f8

10441443320 has 144 divisors (see below), whose sum is σ = 30039864120. Its totient is φ = 3254401920.

The previous prime is 10441443277. The next prime is 10441443323. The reversal of 10441443320 is 2334414401.

It is a self number, because there is not a number n which added to its sum of digits gives 10441443320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441443323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215147 + ... + 259173.

Almost surely, 210441443320 is an apocalyptic number.

10441443320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019932060).

10441443320 is an abundant number, since it is smaller than the sum of its proper divisors (19598420800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10441443320 is a wasteful number, since it uses less digits than its factorization.

10441443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44074 (or 44052 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10441443320 its reverse (2334414401), we get a palindrome (12775857721).

The spelling of 10441443320 in words is "ten billion, four hundred forty-one million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 6776 8470 10780 11858 16940 21560 23716 29645 33880 44027 47432 59290 88054 118580 176108 220135 237160 308189 352216 440270 484297 616378 880540 968594 1232756 1540945 1761080 1937188 2157323 2421485 2465512 3081890 3390079 3874376 4314646 4842970 5327267 6163780 6780158 8629292 9685940 10654534 10786615 12327560 13560316 16950395 17258584 19371880 21309068 21573230 23730553 26636335 27120632 33900790 37290869 42618136 43146460 47461106 53272670 67801580 74581738 86292920 94922212 106545340 118652765 135603160 149163476 186454345 189844424 213090680 237305530 261036083 298326952 372908690 474611060 522072166 745817380 949222120 1044144332 1305180415 1491634760 2088288664 2610360830 5220721660 10441443320